| REGULARITY OF CONJUGACIES OF ALGEBRAIC ACTIONS OF ZARISKI DENSE GROUPS (2009) | |||||||||||||||
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| Abstract. Let α0 be an affine action of a discrete group Γ on a compact homogeneous space X and α1 a smooth action of Γ on X which is C 1-close to α0. We show that under some conditions, every topological conjugacy between α0 and α1 is smooth. In particular, our results apply to Zariski dense subgroups of SLd(Z) acting on the torus T d and Zariski dense subgroups of a simple noncompact Lie group G acting on a compact homogeneous spaces X of G. | |||||||||||||||
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